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Finding the Fourth Proportional to 9,641.46, 14,458.41 and 3,400.14

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Solution

The fourth proportional to 9,641.46, 14,458.41 and 3,400.14 is: 5,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.46 : 14,458.41 = 3,400.14 : x
  2. Step 2: Convert to fraction form
    9,641.46/14,458.41 = 3,400.14/x
  3. Step 3: Cross multiply
    9,641.46x = 14,458.41 × 3,400.14
  4. Step 4: Simplify right side
    9,641.46x = 49,160,618.18
  5. Step 5: Solve for x
    x = 49,160,618.18/9,641.46
  6. Step 6: Final answer
    x = 5,098.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.